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Finding the Fourth Proportional to 18,658.20, 25,747.38 and 10,274.52

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Solution

The fourth proportional to 18,658.20, 25,747.38 and 10,274.52 is: 14,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.20 : 25,747.38 = 10,274.52 : x
  2. Step 2: Convert to fraction form
    18,658.20/25,747.38 = 10,274.52/x
  3. Step 3: Cross multiply
    18,658.20x = 25,747.38 × 10,274.52
  4. Step 4: Simplify right side
    18,658.20x = 264,541,970.76
  5. Step 5: Solve for x
    x = 264,541,970.76/18,658.20
  6. Step 6: Final answer
    x = 14,178.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.